when choosing the highest present value contract, how large an annuity can billy pay himself for the next 40 years at 10% interest?   Contract 1 $900,000 signing bonus  $850,000 at the end of each year for the next  5 years   Contract 2 $200,000 immediate signing bonus $100,000 at the end of each year for the next five years $150,000 a year at the end of years 5 through 10 $1,000,000 a year at the end of years 11 through 40   Contract 3 $1,000,000 immediate signing bonus $500,000 at the end of year 1 $1,000,000 at the end of year 2 $1,500,000 at the end of year 3 $2,500,000 at the end of year 4   As part of the third offer he was also promised a $200,000 bonus for any year in which he was selected to play in the Pro Bowl All Star game. his agent figured there was a 25% probability of that occuring in each of the next 4 years.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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when choosing the highest present value contract, how large an annuity can billy pay himself for the next 40 years at 10% interest?

 

Contract 1

$900,000 signing bonus 

$850,000 at the end of each year for the next  5 years

 

Contract 2

$200,000 immediate signing bonus

$100,000 at the end of each year for the next five years

$150,000 a year at the end of years 5 through 10

$1,000,000 a year at the end of years 11 through 40

 

Contract 3

$1,000,000 immediate signing bonus

$500,000 at the end of year 1

$1,000,000 at the end of year 2

$1,500,000 at the end of year 3

$2,500,000 at the end of year 4

 

As part of the third offer he was also promised a $200,000 bonus for any year in which he was selected to play in the Pro Bowl All Star game. his agent figured there was a 25% probability of that occuring in each of the next 4 years.

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